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Finding the Third Proportional to 217,692 and 333,024

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Solution

The third proportional to 217,692 and 333,024 is: 509,458.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,692 : 333,024 = 333,024 : x
  2. Step 2: Convert to fraction form
    217,692/333,024 = 333,024/x
  3. Step 3: Cross multiply
    217,692x = 333,024 × 333,024
  4. Step 4: Simplify right side
    217,692x = 110,904,984,576
  5. Step 5: Solve for x
    x = 110,904,984,576/217,692
  6. Step 6: Final answer
    x = 509,458.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.